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Finding the Fourth Proportional to 984.36, 1,349.59 and 966.81

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Solution

The fourth proportional to 984.36, 1,349.59 and 966.81 is: 1,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.36 : 1,349.59 = 966.81 : x
  2. Step 2: Convert to fraction form
    984.36/1,349.59 = 966.81/x
  3. Step 3: Cross multiply
    984.36x = 1,349.59 × 966.81
  4. Step 4: Simplify right side
    984.36x = 1,304,792.27
  5. Step 5: Solve for x
    x = 1,304,792.27/984.36
  6. Step 6: Final answer
    x = 1,325.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.